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1212120002112 = 26397239272317
BaseRepresentation
bin10001101000110111111…
…110110110111001000000
311021212200201122000021120
4101220313332312321000
5124324410210031422
62324501254152240
7153400315010115
oct21506776667100
94255621560246
101212120002112
1142806a161068
12176b00652680
138a3c15773a6
144294a06290c
15217e3c6245c
hex11a37fb6e40

1212120002112 has 112 divisors (see below), whose sum is σ = 3253699034880. Its totient is φ = 398200061952.

The previous prime is 1212120002063. The next prime is 1212120002117. The reversal of 1212120002112 is 2112000212121.

It is a junction number, because it is equal to n+sod(n) for n = 1212120002091 and 1212120002100.

It is not an unprimeable number, because it can be changed into a prime (1212120002117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4314978 + ... + 4587294.

It is an arithmetic number, because the mean of its divisors is an integer number (29050884240).

Almost surely, 21212120002112 is an apocalyptic number.

1212120002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1212120002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626849517440).

1212120002112 is an abundant number, since it is smaller than the sum of its proper divisors (2041579032768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1212120002112 is a wasteful number, since it uses less digits than its factorization.

1212120002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272668 (or 272658 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1212120002112 its reverse (2112000212121), we get a palindrome (3324120214233).

The spelling of 1212120002112 in words is "one trillion, two hundred twelve billion, one hundred twenty million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 192 194 239 291 388 478 582 717 776 956 1164 1434 1552 1912 2328 2868 3104 3824 4656 5736 6208 7648 9312 11472 15296 18624 22944 23183 45888 46366 69549 92732 139098 185464 272317 278196 370928 544634 556392 741856 816951 1089268 1112784 1483712 1633902 2178536 2225568 3267804 4357072 4451136 6535608 8714144 13071216 17428288 26142432 26414749 52284864 52829498 65083763 79244247 105658996 130167526 158488494 195251289 211317992 260335052 316976988 390502578 422635984 520670104 633953976 781005156 845271968 1041340208 1267907952 1562010312 1690543936 2082680416 2535815904 3124020624 4165360832 5071631808 6248041248 6313125011 12496082496 12626250022 18939375033 25252500044 37878750066 50505000088 75757500132 101010000176 151515000264 202020000352 303030000528 404040000704 606060001056 1212120002112